ABSTRACT: A new combinatorial interpretation of Raney numbers is proposed. We apply this combinatorial interpretation to solve several tree enumeration counting problems. Further a generalized Catalan ...

This course is an introduction to combinatorics with a focus that includes graph theory. Specific topics covered are enumerative combinatorics up to inclusion-exclusion, the theory of simple graphs, ...

Combinatorial structures encompass an array of discrete objects—permutations, set partitions, matchings, trees and lattice paths—whose enumeration and intrinsic properties are often captured by ...

Algebraic Structures and Combinatorial Geometry represent an increasingly interwoven field that harnesses the rigour of algebra with the spatial intuition of geometry. At its core, the study explores ...

At first pass, it may seem odd for a computer science professor to pen a book about mathematical topics. But a chat with Ömer Eğecioğlu quickly dispels the notion that the fields are that different, ...

Ask the publishers to restore access to 500,000+ books. An icon used to represent a menu that can be toggled by interacting with this icon. A line drawing of the Internet Archive headquarters building ...

ABSTRACT: The Legendre-Stirling numbers were discovered by Everitt, Littlejohn and Wellman in 2002 in a study of the spectral theory of powers of the classical second-order Legendre differential ...

The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg, and Haudenosaunee peoples. Our main campus is situated on the ...